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Low-Density Parity-Check Codes

by Robert G. Gallager

MIT Press

Paperback or Softback 116 pages Mar 17, 2003

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This is a complete presentation of all important theoretical and experimental work done on low-density codes. Low-density coding is one of the three techniques thus far developed for efficient communication over noisy channels with an arbitrarily low probability of error. A principal result of information theory is that if properly coded information is transmitted over a noisy channel at a rate below channel capacity, the probability of error can be made to approach zero exponentially with the code length. Any practical use of this theorem, however, requires a coding scheme in which the cost of storage and computation equipment grows slowly with code length. The present book analyzes a class of coding schemes for which costs grow approximately linearly with code length. It demonstrates that error probability approaches zero exponentially with a root of the block length and cites experimental evidence that this coding scheme has profitable aplicability in many communications situations.
Author:
Robert G. Gallager
Publisher:
MIT Press
Publication Date:
Mar 17, 2003
Number of pages:
116 pages
Binding:
Paperback or Softback
ISBN-10:
0262571773
ISBN-13:
9780262571777